Postgraduate study in the School of Mathematics
Postgraduate study in the School of Mathematics offers students a range of subjects in pure mathematics, theoretical physics, high-performance computing, and interdisciplinary subjects such as bioinformatics and neuroscience. The School is small and the setting is informal which encourages close contact with staff, postdoctoral fellows, visiting scholars and fellow postgraduate students. The workshops and guests of the School's Hamilton Mathematics Institute, TCD in addition to its joint seminars with the School of Theoretical Physics of the Dublin Institute for Advanced Studies and TCD's three neighbouring universities provide a stimulating intellectual backdrop to a student's stay at TCD.
Postgraduate students in the School may either
- read for a Ph.D. or M.Sc. degree by research
- pursue a one-year, full-time course in High-Performance Computing.
There are no formal course requirements for those pursuing a degree by research, but research students are expected to participate fully in appropriate seminars. Prospective students are expected to have achieved at least a II.1 degree and to have the necessary background to pursue advanced study in their chosen field of research. For an M.Sc. candidate the focus is on writing a substantial thesis that takes account of previously published results but which falls short of the originality expected of a Ph.D. thesis. Following evidence of initial work on a thesis topic an M.Sc. candidate may apply to transfer to the Ph.D. register after the first year. For research degrees, the range of topics is limited by the expertise and availability of supervisors within the School. See the topics below.
For the taught M.Sc. in High-Performance Computing, there is a program of coursework provided, which is examined and must be completed satisfactorily. In addition students write a thesis describing a significant project they complete using High-Performance Computing in a practical setting. Some past students who have completed the taught M.Sc. have subsequently become research students in the School, or in other schools.
The main thrust is in analysis, especially partial differential equations, and also operator algebras, operator theory and complex analysis.